Exam 5: Discrete Distributions

Aluminum castings are processed in lots of five each.A sample of two castings is randomly selected from each lot for inspection.A particular lot contains one defective casting; and x is the number of defective castings in the sample.P(x=0)is _______.

If x is a binomial random variable with n=10 and p=0.8,the standard deviation of x is _________.

A hypergeometric distribution applies to experiments in which the trials represent sampling with replacement.

For the Poisson distribution the mean and the variance are the same.

One hundred policyholders file claims with CareFree Insurance.Ten of these claims are fraudulent.Claims manager Earl Evans randomly selects four of the one hundred claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample,x has a _______________.

As in a binomial distribution,each trial of a hypergeometric distribution results in one of two mutually exclusive outcomes,i.e.,either a success or a failure.

Ten policyholders file claims with CareFree Insurance.Three of these claims are fraudulent.Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample,P(x=1)is _______________.

A student randomly guesses the answers to a five question true/false test.If there is a 50% chance of guessing correctly on each question,what is the probability that the student misses exactly 1 question?

The number of defects per 1,000 feet of extruded plastic pipe is best modeled with the ________________.

In a hypergeometric distribution the population,N,is finite and known.

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business,but after scanning the list she doubts the authenticity of the list.She randomly selects five names from the list for validation.If 40% of the names on the list are non-authentic,and x is the number of non-authentic names in her sample,P(x<2)is ______________.

It is known that screws produced by a certain company will be defective with probability .01 independently of each other.The company sells the screws in packages of 25 and offers a money-back guarantee that at most 1 of the 25 screws is defective.Using Poisson approximation for binomial distribution,the probability that the company must replace a package is approximately _________

A variable that can take on values at any point over a given interval is called a discrete random variable

Poisson distribution describes the occurrence of discrete events that may occur over a continuous interval of time or space.

A student randomly guesses the answers to a five question true/false test.If there is a 50% chance of guessing correctly on each question,what is the probability that the student misses no questions?

Pinky Bauer,Chief Financial Officer of Harrison Haulers,Inc.,suspects irregularities in the payroll system,and orders an inspection of a random sample of vouchers issued since January 1,2006.A sample of ten vouchers is randomly selected,without replacement,from the population of 2,000 vouchers.Each voucher in the sample is examined for errors and the number of vouchers in the sample with errors is denoted by x.If 20% of the population of vouchers contains errors,the standard deviation of x is ______.

Ten policyholders file claims with CareFree Insurance.Three of these claims are fraudulent.Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample,P(x=0)is _______________.

Pinky Bauer,Chief Financial Officer of Harrison Haulers,Inc.,suspects irregularities in the payroll system,and orders an inspection of a random sample of vouchers issued since January 1,2006.A sample of ten vouchers is randomly selected,without replacement,from the population of 2,000 vouchers.Each voucher in the sample is examined for errors and the number of vouchers in the sample with errors is denoted by x.If 20% of the population of vouchers contain errors,P(x>0)is _______________.

A market research team compiled the following discrete probability distribution.In this distribution,x represents the number of automobiles owned by a family. Which of the following statements is true?

If x has a binomial distribution with p = .5,then the distribution of x is ________.